 reserve L for Lattice;
 reserve I,P for non empty ClosedSubset of L;
reserve L for lower-bounded pseudocomplemented Lattice;
reserve L for Stone Lattice;
 reserve L1, L2 for Lattice;
 reserve p1, q1 for Element of L1;
 reserve p2, q2 for Element of L2;
 reserve L1, L2 for non empty Lattice;
reserve B for Boolean Lattice;

theorem
  [Bottom B, Bottom B] in the carrier of (B squared-latt)
  proof
    [Bottom B, Bottom B] in B squared;
    hence thesis by SquaredCarrier;
  end;
